If x = ( − 1 , − 4 ) and y = ( − 5 , 1 ) , determine the vectors v 1 = 3 x , v 2 = − 4 y , v 3 = 3 x + ( − 4 ) y , sketch the corresponding points in the x y -plane and the equivalent geometric vector.
If x = ( − 1 , − 4 ) and y = ( − 5 , 1 ) , determine the vectors v 1 = 3 x , v 2 = − 4 y , v 3 = 3 x + ( − 4 ) y , sketch the corresponding points in the x y -plane and the equivalent geometric vector.
If
x
=
(
−
1
,
−
4
)
and
y
=
(
−
5
,
1
)
, determine the vectors
v
1
=
3
x
,
v
2
=
−
4
y
,
v
3
=
3
x
+
(
−
4
)
y
, sketch the corresponding points in the
x
y
-plane and the equivalent geometric vector.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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